Mathematics

You're differentiating a sum of three distinct functions, each requiring a different technique. The first term needs the quotient rule (or product rule with $(\log x) \cdot x^{-1}$), the second combines the product rule with derivatives of exponential and trig functions, and the third is a straightforward logarithm derivative. Treat each piece independently, then add them together—this is where breaking the problem into parts makes it manageable.

You're differentiating a sum of three distinct functions, each requiring a different technique. The first term needs the quotient rule (or product rule with $(\log x) \cdot x^{-1}$), the second combines the product rule with derivatives of exponential and trig functions, and the third is a straightforward logarithm derivative. Treat each piece independently, then add them together—this is where breaking the problem into parts makes it manageable.